211411240100 has 144 divisors (see below), whose sum is σ = 505913869440. Its totient is φ = 76346726400.

The previous prime is 211411240097. The next prime is 211411240109. The reversal of 211411240100 is 1042114112.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (211411240109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4442231 + ... + 4489569.

It is an arithmetic number, because the mean of its divisors is an integer number (3513290760).

Almost surely, 2^211411240100 is an apocalyptic number.

211411240100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211411240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252956934720).

211411240100 is an abundant number, since it is smaller than the sum of its proper divisors (294502629340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211411240100 is a wasteful number, since it uses less digits than its factorization.

211411240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47478 (or 47471 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211411240100 its reverse (1042114112), we get a palindrome (212453354212).

The spelling of 211411240100 in words is "two hundred eleven billion, four hundred eleven million, two hundred forty thousand, one hundred".